Edward was named after his father. edward Mason, so you could say he was/ is Edward Mason jr.
If you mean Stephenie Meyer's reason for choosing Edward, she chose it because the wanted an old romantic name (like a name that used to be used a lot in romance novels from the late 18 centary and the earaly 19 centary ). So she picked Edward...like Edward Ferrars from Sense and Sensibility.
Honeyboy Edwards's birth name is David Edwards.
Nokie Edwards's birth name is Nole Edwards.
Paddi Edwards's birth name is Paddy Edwards.
Sierra Edwards's birth name is Sarah Edwards.
Star Edwards's birth name is Edwards, Laurie.
Edwards Davis's birth name is Davis, Cader Edwards.
Anael Edwards's birth name is Anael Stephanie Edwards.
Braylon Edwards's birth name is Braylon Jamel Edwards.
Cambria Edwards's birth name is Cambria Allison Edwards.
Carey Edwards's birth name is Donald Carey Edwards.
Celeste Edwards's birth name is Celeste Marie Edwards.
Cid Edwards's birth name is Cleophus J. Edwards.